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Finding the Fourth Proportional to 97,138.59, 145,546.80 and 59,072.71

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Solution

The fourth proportional to 97,138.59, 145,546.80 and 59,072.71 is: 88,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,138.59 : 145,546.80 = 59,072.71 : x
  2. Step 2: Convert to fraction form
    97,138.59/145,546.80 = 59,072.71/x
  3. Step 3: Cross multiply
    97,138.59x = 145,546.80 × 59,072.71
  4. Step 4: Simplify right side
    97,138.59x = 8,597,843,761.48
  5. Step 5: Solve for x
    x = 8,597,843,761.48/97,138.59
  6. Step 6: Final answer
    x = 88,511.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.